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Finding the Third Proportional to 167,102 and 258,872

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Solution

The third proportional to 167,102 and 258,872 is: 401,040.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,102 : 258,872 = 258,872 : x
  2. Step 2: Convert to fraction form
    167,102/258,872 = 258,872/x
  3. Step 3: Cross multiply
    167,102x = 258,872 × 258,872
  4. Step 4: Simplify right side
    167,102x = 67,014,712,384
  5. Step 5: Solve for x
    x = 67,014,712,384/167,102
  6. Step 6: Final answer
    x = 401,040.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.